Math Is Sometimes Called The Science Of

Incidentally, When We're Faced With A "prove Or Disprove," We're Usually Better Off Trying First To Disprove With A Counterexample, For Two Reasons: A Disproof Is Potentially Easier (we Need Just One Counterexample); And Nitpicking Arouses Our Creative Juices. Even If The Given Assertion Is True, Our Search For A Counterexample Often Leads To A Proof, As Soon As We See Why A Counterexample Is Impossible. Besides, It's Healthy To Be Skeptical.

Someone Has Said That All The Great Jugglers Are Dead.

Well, As You Know, There Are 24 Hours In Every Day. And If That's Not Enough, You've Always Got The Nights!

Ab=1/4((a+b)^2-(a-b)^2) Is An Amazing Identity, And Unfortunately, I Have To Remind My Current Students How To Prove It.

I Was Reminded Of The Sydney Harris Cartoon That Said 'adding Two Numbers That Have Not Been Added Before Does Not Constitute A Mathematical Breakthrough'.